LOGIC GATES AND ADDERS


                                               :- LOGIC GATES:-

     Definition:- A logic gates is a circuit that has one,two or more input signal but only                                one output these is called logic gates.
                         Basically logic gates are 7th types they are:-
  1. Note Gate/Inverter
  2. And Gate
  3. Or Gate
  4. Nand Gate
  5. Nor Gate
  6. Ex. - Or Gate
  7. Ex. - Nor Gate

 1.    Note Gate/Inverter :- An inverter or note gate has only one input and only one output.when input is increase then output is decrease and when input is decrease then output is also decrease. Because the output is called complement of the input.

Logical expression:-Y=A

Truth Table:-
 INPUT    OUTPUT  
 0 1
 1 0

2.   And Gate :- An and gate has two or more inputs but only one output.In And Gate the output is high only when all input are high but the output is low when any or all input are low.

Logical expression:-X=A.B

Truth Table:-
 INPUT OUTPUT
 0       0     0
 0       1 0
 1      0 0
 1       1 1


3.   Nand Gate :- An Nand Gate means not-And,hence its operation is just opposite to AND gate.A nand gate has two input signal and only one output signal.When the output is low when all the input is low.

Logical Expression:-Y=A.B [where as A.B ka hole bar]

Truth Table:-
 A      B   A.B   A.B
 0      0    0    1
 0      1    0       1
 1      0     0      1
 1      1     1      0


4   OR Gate :- The or gate is also called the any or all.This gate has two or more input but only one input.In or gate,the output is low when the input is high but the output is high when any or all input are high.

Logical Expression :- Y=A+B

Truth Table:-
 input output
 0      0     0
 0      1     1
 1      0     1
 1      1     1


5.   Nor Gate :- Nor means not-or,hence its operation is just opposite to or gate .A nor gate has two or more input signal and only one output signal.In nor gate,the output is high when no input is high but the output is low when any or all input are high.

Logical Expression :-Y=A+B  [It mean A+B ka hole bar]

Truth Table:-
 input output output
 A       B    A+B  A+B 
 0       0    0    1
 0       1     1    0
 1       0     1    0
 1       1     1    0

6.  Exclusive-Or Gate :-The exclusive or gate is abbreviated as Xor gate.The gate has two input and one output.In an or gate,the output is high when any or all input are high.In Xor gate,the output is high when either of the input is high but it is not high when both the input are high.

Logical Expression :-Y=A.B+A.B

Truth Table:-
 input output
 A       B AB+AB
 0        0      0
 0        1      1
 1        0      1
 1        1      0


7.   Exclusive-Nor Gate:-The exclusive nor gate is abbreviated as X nor gate.This gate has two input and one output.Logically X nor gate is equivalent to an xor gate followed by an inverter as shown.In xnor gate,the output is high when both the input are identical otherwise the output is low.

Logical Expression :-Y=AB+AB       [AB+AB ALSO HOLE BAR]

Truth Table:-
 input output output
 0       0      0    1
 0       1      1     0
 1       0      1      0
 1        1      0       1


                                                 
-:ADDERS:-
Definition:-A adders is digitals circuits that perform addition of number.The adders are two types.
1.Half Adders
2.Full Adders


ALL ABOVE TOPICS ARE CLEAR IN THIS VIDEO YOU ALL WATCH THIS VIDEO AND CLEAR ALL TOPICS OF LOGIC GATES AND ADDERS



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